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Finding the Fourth Proportional to 287,442.82, 431,144.16 and 107,494.02

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Solution

The fourth proportional to 287,442.82, 431,144.16 and 107,494.02 is: 161,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,442.82 : 431,144.16 = 107,494.02 : x
  2. Step 2: Convert to fraction form
    287,442.82/431,144.16 = 107,494.02/x
  3. Step 3: Cross multiply
    287,442.82x = 431,144.16 × 107,494.02
  4. Step 4: Simplify right side
    287,442.82x = 46,345,418,957.92
  5. Step 5: Solve for x
    x = 46,345,418,957.92/287,442.82
  6. Step 6: Final answer
    x = 161,233.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.